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Nonlinear vibration analysis of laminated composite angle-ply cylindrical and conical shells

机译：层压复合角柱圆柱和锥形壳的非线性振动分析

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摘要

This paper presents the combination of multiple scale method and modal analysis in order to investigate nonlinear vibration of laminated composite angle-ply cylindrical and conical shells. The shells are modeled considering the shear deformation and rotary inertia while the geometrical nonlinearity is modeled using von Karman approach. Hamilton principle is used for obtaining the basic equations of the system. These equations are converted to nonlinear ordinary differential equations depending on time variable using Ritz method. The results of this study are validated against the results of open literature and good agreement is observed. The effects of several parameters including the layers' angle, the number of the layers, semi-vertex angle, length, radius and also each layer's thickness on nonlinear frequency ratio, fundamental linear frequency and nonlinear frequency are illustrated in details.
机译：本文介绍了多种尺度方法和模态分析的组合，以研究层压复合角度圆柱形和圆锥形壳体的非线性振动。考虑到剪切变形和旋转惯性的模型模型，而使用von Karman方法建模了几何非线性。汉密尔顿原则用于获得系统的基本方程。根据使用RITZ方法的时间变量将这些等式转换为非线性常微分方程。该研究的结果验证了公开文学的结果，并观察到良好的一致性。几种参数的效果包括层的角度，层数，半顶点角度，长度，半径以及每个层的非线性频率比上的厚度，细节示出了基本的频率和非线性频率。

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